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Finding the Fourth Proportional to 4,687.68, 6,451.74 and 4,017

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Solution

The fourth proportional to 4,687.68, 6,451.74 and 4,017 is: 5,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.68 : 6,451.74 = 4,017 : x
  2. Step 2: Convert to fraction form
    4,687.68/6,451.74 = 4,017/x
  3. Step 3: Cross multiply
    4,687.68x = 6,451.74 × 4,017
  4. Step 4: Simplify right side
    4,687.68x = 25,916,639.58
  5. Step 5: Solve for x
    x = 25,916,639.58/4,687.68
  6. Step 6: Final answer
    x = 5,528.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.